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Bentuk sederhana dari (6−2a2)3:(123a3)−2 adalah .....

Pertanyaan

Bentuk sederhana dari open parentheses 6 to the power of negative 2 end exponent a squared close parentheses cubed colon open parentheses 12 cubed a cubed close parentheses to the power of negative 2 end exponent adalah .....

  1. 2 to the power of negative 1 end exponent

  2. 2

  3. 2 a to the power of 12

  4. 2 to the power of 6 a to the power of 12

  5. 2 to the power of negative 6 end exponent a to the power of negative 12 end exponent

S. Dwi

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Gunakan sifat bilangan berpangkat berikut !

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of n close parentheses to the power of m end cell equals cell a to the power of n cross times m end exponent end cell row cell a to the power of n cross times a to the power of m end cell equals cell a to the power of m plus n end exponent end cell end table 

Maka pada soal berlaku :

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 6 to the power of negative 2 end exponent a squared close parentheses cubed colon open parentheses 12 cubed a cubed close parentheses to the power of negative 2 end exponent end cell row cell open parentheses 6 to the power of negative 2 end exponent a squared close parentheses cubed over open parentheses 12 cubed a cubed close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses 6 to the power of negative 2 end exponent a squared close parentheses cubed cross times open parentheses 12 cubed a cubed close parentheses squared end cell row blank equals cell 6 to the power of negative 6 end exponent a to the power of 6 cross times 12 to the power of 6 a to the power of 6 end cell row blank equals cell 12 to the power of 6 over 6 to the power of 6 cross times a to the power of 12 end cell row blank equals cell open parentheses 12 over 6 close parentheses to the power of 6 a to the power of 12 end cell row blank equals cell 2 to the power of 6 a to the power of 12 end cell row blank equals cell open parentheses 2 a squared close parentheses to the power of 6 end cell end table 

Dengan demikian hasil dari  open parentheses 6 to the power of negative 2 end exponent a squared close parentheses cubed colon open parentheses 12 cubed a cubed close parentheses to the power of negative 2 end exponent equals open parentheses 2 a squared close parentheses to the power of 6 .

Oleh karena itu, jawaban yang benar adalah D.

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